Low dimensional behavior in three-dimensional coupled map lattices
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Data
2009-07-30
Autores
Muruganandam, Paulsamy
Francisco, Gerson [UNESP]
de Menezes, Marcio
Ferreira, Fernando F.
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Pergamon-Elsevier B.V. Ltd
Resumo
The analysis of one-, two-, and three-dimensional coupled map lattices is here developed under a statistical and dynamical perspective. We show that the three-dimensional CML exhibits low dimensional behavior with long range correlation and the power spectrum follows 1/f noise. This approach leads to an integrated understanding of the most important properties of these universal models of spatiotemporal chaos. We perform a complete time series analysis of the model and investigate the dependence of the signal properties by change of dimension. (c) 2008 Elsevier Ltd. All rights reserved.
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Chaos Solitons & Fractals. Oxford: Pergamon-Elsevier B.V. Ltd, v. 41, n. 2, p. 997-1004, 2009.